What is (\partial)/(\partial y)(5x^2y) ?

The answer to (\partial)/(\partial y)(5x^2y) is 5x^2

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(\partial)/(\partial y)(5x^2y)

\frac{\partial}{\partial y} (5 x^{2} y)

5 x^{2}

Solution steps

\frac{\partial}{\partial y} (5 x^{2} y)

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 x^{2} \frac{\partial}{\partial y} (y)

Apply the common derivative:

\frac{\partial}{\partial y} (y) = 1

= 5 x^{2} \cdot 1

Simplify

= 5 x^{2}

\frac{d}{d x} (\frac{x ^{2} - 4 x + 20}{x ^{2} + 6 x + 8})

f (x) = \frac{2 x ^{2} + 4 x + 4}{x}

y = \frac{1}{6} x^{3} + \frac{2}{5} x^{2}

\int - sin (e^{x}) e^{2 x} d x

(- 5, 4), (2, 4)

What is (\partial)/(\partial y)(5x^2y) ?
The answer to (\partial)/(\partial y)(5x^2y) is 5x^2